ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00095.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00096.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

SummaryA group ofnpersons has to decide on one out ofkalternatives. To achieve this end each pair of alternatives is put to a vote. It is assumed that each person ranks thekalternatives according to an individual preference scale and that on every vote between two alternatives he will vote for the alternative that occurs higher on his scale. Ifnis odd and an alternative obtains a majority on each of the (k ‐1) occasions on which it is put to a vote, the group will decide on that alternative. If no such winning alternative exists, a paradox of voting is said to occur. For even values ofnthe definition of a paradox is slightly more complicated.On the assumption that the preference scales of thenpersons are obtained bynindependent random drawings from thek! permutations of the numbers 1, 2,…,k, we discuss the computation of the probability of a paradox of votingPk,n. Values ofP3,nandPk= limPk,nare gi

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00097.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

SummaryA description is given of the version of the chi‐square test of goodness‐of‐fit proposed by G. S. Watson(1957, 1958). This version is applicable if one has a full samplex1, x2,…xnfrom a (under the null‐hypothesis) continuous distribution. To estimate the unknown parameters it uses (as will be general practice in this situation) the sample valuesxand not the class‐numbersn1,n2,…,nk. To calculate the asymptotic distribution of the test statistic a more detailed description is given of a method originally proposed by Harperand MacDonald(1960). Some numerical calculations in case of the normal distribution lead to the conclusion that the asymptotic distribution may be well approximated by ax

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00098.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

SummaryThis article presents a simple method of estimating the population mean of a variate and setting approximate confidence limits when probabilities of selection are proportional to some quantity of the selected elements, which is observed along with the variate concerned. The method is closely related to the method of ratio estimators.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00099.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

SummaryA number of methods of estimation have been proposed on relatively intuitive grounds. A “best” method does not exist. Sometimes the principle of invariance or, better termed, equivariance is very useful. By use of the group structure on hand it is possible to characterize equivariant estimators.Lezing gehouden op de Statistische Dag 1

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00100.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00101.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

SummaryInvestment and uncertaintyAfter a few introductory remarks about the necessity of uniform definitions about plan horizon, returns, expenses, interest factor ett. for all investment alternatives and the necessity of an also uniform way of prediction, several models on investment analysis which are known from literature are briefly discussed. For simplicity there is only one decision variable (i.e. capacity); the variables influencing it are called exogeneous variables. These exogeneous variables may be deterministic and then one has to maximize the sum of the discounted cash flows from each project where different levels of investment into a project are supposed to exclude each other. The maximization may be subject to restrictions or not. If the exogeneous variables are stochastic one has to maximize the expected utility, mostly defined by the expected value and the variance of the discounted cash flows. The way to carry this out is simulation. Also portfolio analysis may be used, but there are some objections against this method, which are discussed.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00102.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY

摘要:

Book reviewed in this article:Basic Statistics, DickA. LeaboTotal Positivity, Vol. 1, S. KarlinWahrseheinlichkeitstheorie und Crundzüge der Masztheorie, H. Bauer. W. de Gruyter&CoStatistical Methods, GeorgeW. Snedecorand WilliamG. CochranGraphical Rational Patterns. A New Approach to Graphical Presentation of Statistics, RobertoBachiKleine Statistiek, T. SchutIntroduction to Statistical Procedures: with Computer Exercises, PaulR. Lohnesand WilliamW. CooleyNormal centroids, medians and scorn for ordinal data, F. N. DavidEinführung in die Unternehmensforschung I en II, R. Hennund H. P. KünziKapitalbildung, Wettbewerb und ökonomisches Wachstum, M. NeumannMathematische Propädeutik für Wirtschaftswissenschafler. I. Lineaire Algebra, WolfgangWetzel, HorstSkarabisund PeterNaeveIntroduction to Linear Models and the Design and Analysis of Experiments, W. MendenhallIntroduction to Technological Economics, DuncanDaviesand CallumMcCarthyBiometrie; Grundzüge biologisch‐mediziniher Statistik, LuigiCaval

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1969.tb00103.x

出版商:Blackwell Publishing Ltd    

年代:1969

数据来源: WILEY